A new hyperchaotic system and its linear feedback control

作者：Cai Guo Liang^*; Zheng Song; Tian Li Xin

来源：Chinese Physics B, 2008, 17(11): 4039-4046.

• hyperchaos
• linear feedback control
• Lyapunov exponents
• bifurcation

This paper reports a new hyperchaotic system by adding an additional state variable into a three-dimensional chaotic dynamical system, studies some of its basic dynamical properties, such as the hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and the hyperchaotic attractor evolving into periodic, quasi-periodic dynamical behaviours by varying parameter k. Furthermore, effective linear feedback control method is used to suppress hyperchaos to unstable equilibrium, periodic orbits and quasi-periodic orbits. Numerical simulations are presented to show these results.

• 出版日期2008-11
• 单位江苏大学